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An energy-preserving Crank-Nicolson Galerkin method for Hamiltonian partial differential equations

  • Published:2016-04-06 Issue:5 Volume:32 Page:1485-1504
  • ISSN:0749-159X
  • Container-title:Numerical Methods for Partial Differential Equations
  • language:en
  • Short-container-title:Numer. Methods Partial Differential Eq.

Author:

Li Haochen1,Wang Yushun1,Sheng Qin2

Affiliation:

1. Jiangsu Key Laboratory for NSLSCS, School of Mathematical Sciences; Nanjing Normal University; Jiangsu 210023 China

2. Department of Mathematics and Center for Astrophysics, Space Physics and Engineering Research; Baylor University; Waco Texas 76798-7328

Funder

National Natural Science Foundation of China, Jiangsu Collaborative Innovation Center for Climate Change, China

Priority Academic Program Development of Jiangsu Higher Education Institutions, China

Publisher

Wiley

Subject

Applied Mathematics,Computational Mathematics,Numerical Analysis,Analysis

Reference35 articles.

1. Difference schemes for Hamiltonian formalism and symplectic geometry;Feng;J Comput Math,1986

2. A First Course in the Numerical Analysis of Differential Equations

3. Symplectic Geometric Algorithms for Hamiltonian Systems
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